- : unit = ()
h : heuristic = <heuristic>
- : unit = ()
APPLY CRITERIA (Marked dependency pairs)

TRS termination of:
[1] and(tt,X) -> activate(X)
[2] plus(N,0) -> N
[3] plus(N,s(M)) -> s(plus(N,M))
[4] activate(X) -> X


Sub problem: 
guided: 

DP termination of:
<Marked_and(tt,X) , Marked_activate(X)>
<Marked_plus(N,s(M)) , Marked_plus(N,M)>
 
END GUIDED
APPLY CRITERIA (Graph splitting)
Found 1 components:

{  <Marked_plus(N,s(M)) , Marked_plus(N,M)> 
      --> <Marked_plus(N,s(M)) , Marked_plus(N,M)>
}
APPLY CRITERIA (Choosing graph)
Trying to solve the following constraints:
{
  activate(X) >= X ;
  and(tt,X) >= activate(X) ;
  plus(N,0) >= N ;
  plus(N,s(M)) >= s(plus(N,M)) ;
  Marked_plus(N,s(M)) >= Marked_plus(N,M) ;
 }
 + Disjunctions:{ 
{
  Marked_plus(N,s(M)) > Marked_plus(N,M) ;
 }
 } 
=== TIMER virtual : 10.000000 ===
Entering poly_solver
Starting Sat solver initialization
Calling Sat solver...
=== STOPING TIMER virtual ===
=== TIMER real : 10.000000 ===
=== STOPING TIMER real ===
Sat solver returned
Sat solver result read
=== STOPING TIMER real ===
=== STOPING TIMER virtual ===
constraint: activate(X) >= X
constraint: and(tt,X) >= activate(X)
constraint: plus(N,0) >= N
constraint: plus(N,s(M)) >= s(plus(N,M))
constraint: Marked_plus(N,s(M)) >= Marked_plus(N,M)
APPLY CRITERIA (Graph splitting)
Found 0 components:
SOLVED
{
 
TRS termination of:
[1] and(tt,X) -> activate(X)
[2] plus(N,0) -> N
[3] plus(N,s(M)) -> s(plus(N,M))
[4] activate(X) -> X
 ,
 CRITERION: MDP
 [ {
      
     DP termination of:
     <Marked_and(tt,X) , Marked_activate(X)>
<Marked_plus(N,s(M)) , Marked_plus(N,M)>
 ,
 CRITERION: SG
 [ {
      
     DP termination of:
     <Marked_plus(N,s(M)) , Marked_plus(N,M)>
 ,
 CRITERION: ORD
 [ 
     Solution found:
     polynomial interpretation = 
      [ activate ] (X0) = 1 + 2*X0 + 0; 
 [ 0 ] () = 2 + 0; 
 [ tt ] () = 3 + 0; 
 [ and ] (X0,X1) = 3 + 3*X0 + 3*X1 + 0; 
 [ s ] (X0) = 2 + 1*X0 + 0; 
 [ plus ] (X0,X1) = 3*X0 + 2*X1 + 0; 
 [ Marked_plus ] (X0,X1) = 3*X1 + 0; 
 ]} 
 ]} 
 ]} 

Cime worked for 0.011687 seconds (real time)
Cime Exit Status: 0